Pseudodifferential Operators on Locally Compact Abelian Groups and Sjoestrand's Symbol Class
| dc.creator | Grochenig, Karlheinz | |
| dc.creator | Strohmer, Thomas | |
| dc.date | 2006-04-12 | |
| dc.date.accessioned | 2026-07-07T07:10:52Z | |
| dc.date.available | 2026-07-07T07:10:52Z | |
| dc.description | We investigate pseudodifferential operators on arbitrary locally compact abelian groups. As symbol classes for the Kohn-Nirenberg calculus we introduce a version of Sjoestrand's class. Pseudodifferential operators with such symbols form a Banach algebra that is closed under inversion. Since "hard analysis" techniques are not available on locally compact abelian groups, a new time-frequency approach is used with the emphasis on modulation spaces, Gabor frames, and Banach algebras of matrices. Sjoestrand's original results are thus understood as a phenomenon of abstract harmonic analysis rather than "hard analysis" and are proved in their natural context and generality. | |
| dc.identifier | https://arxiv.org/abs/math/0604294 | |
| dc.identifier | http://arxiv.org/abs/math/0604294 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/111555 | |
| dc.subject | Functional Analysis | |
| dc.subject | Analysis of PDEs | |
| dc.title | Pseudodifferential Operators on Locally Compact Abelian Groups and Sjoestrand's Symbol Class | |
| dc.type | text |